# Study sets matching "conics"

Study sets

Diagrams

Classes

Users

how know if equation is a circle

how know if equation is a parabola

how know if equation is an elipse

how know if equation is a hyperbola

2 squared terms

1 squared term

2 squared terms = 1

2 squared terms and (-) sign

how know if equation is a circle

2 squared terms

how know if equation is a parabola

1 squared term

Advertisement

how you know if equation is a circle

how you know if equation is a parabola

how you know if equation is an ellipse

how you know if equation is a hyperbola

2 positive squared terms with equal coefficients

1 squared term only

2 positive squared terms with unequal coefficients = 1

2 squared terms = 1 and (-) sign

how you know if equation is a circle

2 positive squared terms with equal coefficients

how you know if equation is a parabola

1 squared term only

how you know if equation is a circle

how you know if equation is a parabola

how you know if equation is an ellipse

how you know if equation is a hyperbola

2 positive squared terms with equal coefficients

1 squared term only

2 positive squared terms with unequal coefficients = 1

2 squared terms = 1 and (-) sign

how you know if equation is a circle

2 positive squared terms with equal coefficients

how you know if equation is a parabola

1 squared term only

What is the Directrix ?

What is the Focus of a parabola?

Equation of Parabola in Standard Form

Equation of Parabola in Vertex Form

A fixed line that defines the parabola. Every point on the par…

What is the Directrix ?

A fixed line that defines the parabola. Every point on the par…

What is the Focus of a parabola?

vertex

vertical parabola

horizontal parabola

parabola a

(h,k) parabola

(x-h)² = 4a(y-k), graph opens left/right, Focus: (h,k+a), Dire…

(y-k)² = 4a(x-h), graph opens up/down, Focus: (h+a,k), Directr…

distance from vertex to focus/directrix

vertex

(h,k) parabola

vertical parabola

(x-h)² = 4a(y-k), graph opens left/right, Focus: (h,k+a), Dire…

Circle

radius

Standard form of a circle

Center of circle

the set of all points in a plane that are equidistant from a f…

the distance from the center to any point on the circle

(x-h)^2+(y-k)^2=r^2... or ... x^2+y^2=r^2

(h,k)

Circle

the set of all points in a plane that are equidistant from a f…

radius

the distance from the center to any point on the circle

distance formula

midpoint formula

standard form for a circle

domain and range of a circle

used to find diameter or radius when given 2 sets of points

used to find the center

x^2 + y^2 = r^2 OR (x-h)^2 + (y-k)^2 = r^2... x and y coefficien…

[brackets], domain - left to right, range - bottom to top

distance formula

used to find diameter or radius when given 2 sets of points

midpoint formula

used to find the center

Form of an Equation:... y = a(x-h)^2 + k... D…

Form of an Equation:... x = a(y-k)^2 + h... D…

Vertex

Axis of Symmetry

Up if a > 0, down if a < 0

Right if a > 0, Left if a < 0

Always (h,k)

x=h in up/down parabola & y=k in right/left parabola

Form of an Equation:... y = a(x-h)^2 + k... D…

Up if a > 0, down if a < 0

Form of an Equation:... x = a(y-k)^2 + h... D…

Right if a > 0, Left if a < 0

Advertisement

Ellipse

Hyperbolas

Hyperbola Standard Form

Circle Standard Form

A set of points where the distance form any point (x,y) on the…

The set of all points that have the following characteristics:…

Ellipse

A set of points where the distance form any point (x,y) on the…

Hyperbolas

The set of all points that have the following characteristics:…

Parabola

Up and Down Parabola

Left and Right Parabola

Up down Parabola with vertex (h,k)

Only one sqaure term

x^2 = 4py ... p<0 downward ... Vertex: origin ... Focus (0, p) ... Directr…

Y^2 = 4px ... p > 0 right ... p < 0 left ... Vertex (0,0) ... Focus (p,0)…

(x-h)^2 = 4p(y-k)... Vertex (h,k) ... Focus(h, k + p) ... Directrix y =…

Parabola

Only one sqaure term

Up and Down Parabola

x^2 = 4py ... p<0 downward ... Vertex: origin ... Focus (0, p) ... Directr…

Conic

Locus

Circle

Center of a Circle

intersection of a plane and a double-napped cone

a set of points that follows a general rule

is the set of all points (x,y) in a plane that are equidistant

fixed point

Conic

intersection of a plane and a double-napped cone

Locus

a set of points that follows a general rule

circle

ellipse

parabola

hyperbola

plane horizontally through a cone

plane diagonally through a cone from one side to another

plane diagonally from a cone's base to its edge

plane vertically through to two cones that are reflected image…

circle

plane horizontally through a cone

ellipse

plane diagonally through a cone from one side to another